Heisenberg-Pauli-Weyl Uncertainty Principle for the Spherical Mean Operator

2010 ◽  
Vol 7 (2) ◽  
pp. 169-194 ◽  
Author(s):  
Nebila Msehli ◽  
Lakhdar T. Rachdi
Keyword(s):  
Uncertainty Principle ◽  
Spherical Mean Operator ◽  
Spherical Mean

scholarly journals Uncertainty principle for the spherical mean operator

2014 ◽  
pp. 475-487 ◽  
Author(s):  
Radouan Daher ◽  
Abdelmajid Khadari ◽  
Slim Omri
Keyword(s):  
Uncertainty Principle ◽  
Spherical Mean Operator ◽  
Spherical Mean

scholarly journals Spaces ofDLptype and a convolution product associated with the spherical mean operator

2005 ◽  
Vol 2005 (3) ◽  
pp. 357-381 ◽  
Author(s):  
M. Dziri ◽  
M. Jelassi ◽  
L. T. Rachdi
Keyword(s):  
Harmonic Analysis ◽  
Dual Space ◽  
Convolution Product ◽  
Spherical Mean Operator ◽  
Spherical Mean

We define and study the spacesℳp(ℝ×ℝn),1≤p≤∞, that are ofDLptype. Using the harmonic analysis associated with the spherical mean operator, we give a new characterization of the dual spaceℳ′p(ℝ×ℝn)and describe its bounded subsets. Next, we define a convolution product inℳ′p(ℝ×ℝn)×Mr(ℝ×ℝn),1≤r≤p<∞, and prove some new results.

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